Question

Find the interquartile range of the given dataset.
11, 13,22, 17, 14,21,27,15
(1 point)
○ 8
13.5
○ 6.5
○ 21.5

Answer 1

To find the interquartile range, we first need to find the median of the dataset.

The median of the dataset is the middle number when the numbers are arranged in ascending order:

11, 13, 14, 15, 17, 21, 22, 27

Since there are 8 numbers, the median is the average of the two middle numbers, which are 15 and 17. So the median is (15+17)/2 = 16.

Next, we need to find the first quartile (Q1) and the third quartile (Q3).

Q1 is the median of the lower half of the dataset (11, 13, 14, 15) which is 13.5.

Q3 is the median of the upper half of the dataset (17, 21, 22, 27) which is 21.5.

Now we can calculate the interquartile range, which is Q3 - Q1:

21.5 - 13.5 = 8

Therefore, the interquartile range of the given dataset is 8.

So the answer is: 8